Q79.Let f : (−1, 1) →R be a function defined by f(x) = max{−|x|, −√1 −x2}. If at which f is not differentiable, then K has exactly (1) two elements (2) one element (3) three elements (4) five elements
What This Question Tests
This question tests the ability to determine points of non-differentiability for a function defined as the maximum of two other functions, requiring careful analysis of their graphs and derivatives at intersection points.
Concepts Tested
Formulas Used
f(x) = max(g(x), h(x))
d/dx |x|
d/dx sqrt(u(x))
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Differentiability of functions
- Year
- 2019
- Shift
- 10 Jan Shift 2
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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